Dear R-Langs,

I'm currently trying to analyze some experimental data with a contrast coded mixed model. I have a 2 (levels:A,B) x 3 (levels:D,E,F) design with unbalanced cell sizes. I am coding the following variables:

AvB, DvE, EvF

where sum(AvB)=0, sum(DvE)=0, sum(EvF)=0. Next I fit this model:

lmer(DV~AvB*(DvE+EvF)+(1|Subj)+(1|Item))

And here is the correlation matrix it outputs:

Correlation of Fixed Effects:
                 (Intr)   AvB    DvE     EvF  AvB:DvE
AvB -0.029 DvE 0.010 -0.006 EvF -0.002 -0.001 *0.488 * AvB:DvE -0.003 0.015 -0.039 -0.018 AvB:EvF -0.001 -0.002 -0.018 -0.044 *0.488 *

The question I have is, how to get rid of the collinearity in red and blue and whether it's even possible. And if it's not possible, in what way will this affect the reliability of my result?

Thanks so much in advance,

Peter
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